Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935br |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
162491298076886625 = 34 · 53 · 77 · 117 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96301906,-363755876989] |
[a1,a2,a3,a4,a6] |
j |
473897054735271721/779625 |
j-invariant |
L |
0.77110031061957 |
L(r)(E,1)/r! |
Ω |
0.048193762600157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705e1 8085n1 |
Quadratic twists by: -7 -11 |